I had problem with broadcom drivers. The insternet was super-slow, 1kb/s was the max download speed. Then i was searching for a solution, and found a tip that offered to install bmcwl-kernel-source. I isnstalled it, restarted my computer, and there were no Wifi drivers. ( There were only Wired connection option ). I tried to use "Additional Drivers" but it won't show B43 anymore.

1 Answer
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You should review the information on the official Ubuntu community help site. Click Here.
The connection speed might not be related to the driver at all, but without more information, it's hard to tell.